7,774,393

11 × 706763

Starting at 7,774,393, the Collatz iteration reaches 1 after 178 steps. The first transition is 23323180; the starting value is odd with 4 positive divisors.

Prime Factor Structure

Factorization String 11 × 706763

Distinct Prime Factors 2

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 4

Divisor Sum (σ) 8,481,168

Proper Divisor Sum 706,775

Digit Sum / Digital Root 40 (Root: 4)

Adjacent Primes #7774381 ← → #7774399

Radix Representation

Decimal	7774393
Binary	11101101010000010111001 (23 bits)
Octal	0o35520271
Hexadecimal	0x76A0B9

Divisor Catalog (4)

1 11 706,763 7,774,393

Collatz Trajectory (178 steps to reach 1)

Iterative sequence n → n/2 (if even) or 3n+1 (if odd):

7,774,393 23,323,180 11,661,590 5,830,795 17,492,386 8,746,193 26,238,580 13,119,290 6,559,645 19,678,936 9,839,468 4,919,734 2,459,867 7,379,602 3,689,801 11,069,404 5,534,702 2,767,351 8,302,054 4,151,027 12,453,082 6,226,541 18,679,624 9,339,812 4,669,906 2,334,953 7,004,860 3,502,430 1,751,215 5,253,646 2,626,823 7,880,470 3,940,235 11,820,706 5,910,353 17,731,060 8,865,530 4,432,765 13,298,296 6,649,148 3,324,574 1,662,287 4,986,862 2,493,431 7,480,294 3,740,147 11,220,442 5,610,221 16,830,664 8,415,332 4,207,666 2,103,833 6,311,500 3,155,750 1,577,875 4,733,626 2,366,813 7,100,440 3,550,220 1,775,110

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